{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "68b6ce9f-163c-4a7b-a588-f82b02a032f0",
   "metadata": {},
   "source": [
    "Chapter 11\n",
    "# 同构\n",
    "Book_6《数据有道》 | 鸢尾花书：从加减乘除到机器学习"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "d32a8941-a02f-40a0-ae62-c0bf2c0b6111",
   "metadata": {},
   "outputs": [],
   "source": [
    "import networkx as nx\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6c3bc429-f066-4d6f-b687-46151e82b70d",
   "metadata": {},
   "source": [
    "## 第一幅图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "96bfccda-f8fd-4c41-8cd7-e630f7b2296c",
   "metadata": {},
   "outputs": [],
   "source": [
    "G = nx.cubical_graph()\n",
    "# 立方体图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "6c3bb815-75f5-4784-a809-c6e2c20cebf2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (6,6))\n",
    "\n",
    "nx.draw_networkx(G, \n",
    "                 pos = nx.spring_layout(G, seed = 8),\n",
    "                 with_labels=True, \n",
    "                 node_color=\"c\")\n",
    "plt.savefig('图G.svg')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3086a914-8105-46af-9fb6-1d089df96d89",
   "metadata": {},
   "source": [
    "## 第二幅图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "20736797-641a-4ae8-b345-f0ae430c593c",
   "metadata": {},
   "outputs": [],
   "source": [
    "H = nx.Graph()\n",
    "H.add_edges_from([('a','b'),('b','c'), \n",
    "                  ('c','d'),('e','f'),\n",
    "                  ('f','g'),('g','h'),\n",
    "                  ('b','h'),('c','g'),\n",
    "                  ('d','a'),('e','h'),\n",
    "                  ('e','a'),('d','f')])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "54888ec2-bb72-428e-9906-0a7ee8f38871",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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pVLRCto3Ho1NHjx5lx44dlChRInZ0qn379uzdu1f/rSVRKJDFpv7880+mTJlC8eLFKVWqFNu2bWPAgAFERkYyZ84cypQpoxWdjallnThMJhPvvPNO7L0NAwYMYNu2bZQsWZLixYszZcoU/vzzT6PLFCeiQBabOHXqFO+//z5ms5mAgACyZMnC6tWrCQ8Pp0+fPrz55ptGl+i09AtO4nvzzTfp06cP4eHhfP/992TJkoWAgADMZjPdu3fn1KlTRpcoTkCBLC/s77//ZuHChVSsWBF/f3/mz59PcHAwFy5c4Pvvv6dWrVoaWUpCWiEnPldXV2rXrs3333/P+fPnCQoKYt68efj7+1OxYkUWLVqk0Sl5YQpkeW6RkZF89tlnZM2alWbNmvHw4UPmzp1LZGQkQ4cOJVu2bEaXmKyoZW0MX19fvvzyy9i3Yx48eMC7776Lj49P7M5yIs9DgSwJ8ujRI9atW0eDBg3Ili0bo0aNolGjRhw9epTt27fTokULjSwZRC1rY6VMmZKWLVuyY8cOjh49SsOGDRk5ciTZsmWjQYMGrF+/XqNTkiAKZInTb7/9xogRI8iVKxc1atTg4sWLjB8/nujoaMaPH0+BAgWMLlH+oRWy8QoUKEBoaGjsz8eFCxeoXr06uXLlYsSIEfz2229Glyh2TIHsCO7fhuuH4dc91n/ev52op4uJiWH37t20a9cOs9lM3759KVWqFD/++COHDx+ma9euGlmyI2pZ25+0adPStWvX2E1vSpUqRd++fTGbzbRr147du3cnzd9XEl875OW4GV2APMONk3BuAkSvgdsXgCd/eE3gkR08a0HOrpDe3yan/PPPP5k7dy6hoaEcPnwYX19fBg4cSMeOHcmYMaNNziG2p5a1/TKZTJQpU4YyZcowcuRIpk2bxoQJE5g5cyZFihQhKCiIli1bkiZNGtud1IBrh9iGKSYBv6bdvHmT9OnTc+PGDT1/NrHdvgh7A+HnDWByg5gHz/7ax5/PXBVKTASPF9v/+eTJk4SFhTFz5kxu3bpF7dq1CQ4Opnr16ri4qIli765du8abb77JsmXLaNCggdHlSDwePnzIunXrCAsLY/Xq1aRNm5Z27doRFBRE3rx5X/zABlw7JGESmqG62tqT8Cmw2h+ubrF+HNcP1JOfv7rF+rrwKQk+1eORpQoVKpAvXz4WLlxISEhI7CPqatasqTB2EGpZOxZXV1dq1arFqlWruHDhAiEhIcyfPz92dGrhwoX8/fffz3fQJLx2SOLRFddeHB8Ce7vAw7vx/jB9vgRMrZ74g5gH1tft7WI9ThwuX75Mv3798PHxoVmzZjx69Cj2Ie4aWXJMalk7rmzZsjF06FAiIyOZO3cuDx8+pFmzZvj4+PDZZ58lbHTqGdeOx9eJX2/F8drnuHZI4lMg24PwKXC0n22OdbQfnJ/6rz969OgRP/zwA/Xr18fX15cxY8bQpEkTjh07xvbt22nevDkpUqSwzfnFMFohO66UKVPSokULtm/fzrFjx2jcuDGjR48mW7Zs1K9fn3Xr1j19dCqRrx2StBTIRrt9EQ68Z9tj7u8Gty/y66+/8vXXX5MrVy5q1qzJpUuXYkcyxo0bR/78+W17XjGEWtbOJX/+/IwfPx6LxUJoaCgRERHUqFHj/49OJeK1Q4yhQDba3kB4FM/7Pc8p5uF9jk0rg5eXF/369aN06dLs2rWLQ4cOERgYiIeHh03PJ8ZSy9o5pU2blsDAQA4fPszOnTspXbp07OhU27Zt+WNDc2JsfO3g0QPrNUkMoUA20o2T1jsi43jP+Mcz8NZnkKo95PgAJm6K/7AmHlLgjSuMGxpCVFQUs2bNonTp0rpwOzmtkJ2TyWTi7bffZtasWURFRTFo0CB+PrOZV+/sxRTfzVtY30N+dwyk6wSvB0L3mXD3WfeMxTywXpNu6GEZRlAgG+ncBOv4wTMcuwzVhsEvN+DzRtChHAxYAsv2x3/oGJMbncvd1/xwMqCWdfKRMWNGevfuzbpxDXmUwMv3u2Pg7n34shnUKgRj1kFAXG8Vm9zgXJhtCpbnoo1BjBS9Js7Vcf8lEBMDO/qDzxvWP2tcAgr0if/QppgHEL3WRoWKPVPnI/kxXVmLiYTtj+2bEVZ8aP3/IdUgXWoI3Qi9akNBn6e8QNcOw2iFbJT7t/7ZRefpHj6CdUehQfH/hTFAXjNUL5jAc9w+r63ykhGtkJOJeK4d/xVS9d8fv1fd+s81h+N4ka4dhlAgG+X2ef69pd2/XbsJd/6GnJn//+dyZ0noSWLgdviLVCcORC3rZCaea8d//fcakuNNcDFBxLW4XqVrhxEUyEZ5eM+5ziOGUcs6mXnJn+kEf7vo2pHkFMhGcY372cEZ00HqFHDu5///uTNXbHcecR5aIScTz/kz/d9rSPhVeBQD2eK731PXjiSnQDaKhx/w7F9VXV2s7xUv3w+Xf/3fn5+yWN9bThjTP+cRZ6aWdTITz7Xjv8Zv+PfHY9dZ/1mzUFyv0rXDCLrL2ijuHtbHoN0+/8wvGdgYfjgCZQdBcFV48BDGrod8XnD0cgLO4ZHDeh5xampZJzMJuHY86eI1qPcN1CgIP52D2Tuh5dtQKGscL9K1wxBaIRvJs1acc8gFfWDdx9b2df/FMG2bNaQbFo//0A8ewsGfM/1vmz1xelohJyPxXDuetOA9SOkGfebD6sPQrRpM7RLHC0xu4FnTJmXK89HzkI104ySszpdohy/0qTtnfnahWbNmBAUFUbJkSa2mnNBff/1FmjRpmD17Nq1atYr/BeL4EvnaQe2TkP4lns0s/6LnITuC9P7WB4Qn8DfdBDO5QeaqbNxnYeDAgWzfvp3SpUtTrFgxJk+ezJ9//mnb84mh9EtWMpTI1w6FsTEUyEYrMRFcbPxD5eIGJSaSMWNGPv74Y8LDw1m9ejVms5nAwEA8PT15//33OXVK+9U6E7Wsk5lEvHaIMRTIRvPwhWJjbXvM4uOsx/2Hq6srtWrVYtWqVVy4cIGQkBAWLFiAv78/FStWZOHChfz997N2mxd7p7usk6kkuHZI0lIg2wO/zlDwC9scq9AQyNHpmZ/Oli0bQ4cOJTIyknnz5vHw4UOaNWuGj48Pn332GZGRkbapQ5KMWtbJWBJeOyTxKZDtRf6+UGIyuKZ6/veFTG7W15WcAvk+TdBLUqRIQfPmzdm+fTvHjh2jSZMmjB49mmzZslG/fn3WrVvHo0cJ27xe7INWyMlUEl87JPEokO2JX2fr3Y2ZKlo/ju+H6/HnM1W0vu4Ff7vNnz8/48aNw2KxEBoaSkREBDVq1CBXrlyMGDFCo1N2Ti1red5rx8NH1u+ZR29WeKlrh9iWAtneePhCpfVQ+wTkDHrGrjz/7KKTM8j6w1RpvU3e90mbNi2BgYEcPnyYnTt3Urp0afr27YvZbKZt27bs3r1bF307pJa1AM917biesQV5P4IlvwfoPWN7EpMAN27ciAFibty4kZAvF1v7+1bMyZ1zY0rkIObkzrkxMX/fSrJT//LLLzHDhw+P8fX1jQFiChcuHDNx4sSYW7eSrgaJ299//x0DxEyfPt3oUsTexHHtKFu2bEz58uWNqy0ZSWiGaoXsCNw9uJMqN3vPw51UuZN0S7uMGTPSu3dvwsPDWbNmDd7e3gQFBWE2m3nvvfc4efJkktUiT6eWtTxTHNeO4OBgtm3bxokTJwwsUJ6kQJYEcXFxoWbNmqxcuZILFy7QrVs3Fi5cSL58+ahQoQILFizQ6JRB1LKWF9GoUSMyZcpEaGio0aXIPxTI8tyyZs3KkCFDiIyMZP78+cTExNC8eXN8fHzo168fly8n5MkXYmtaIcvzSJEiBQEBAcycOZObN28aXY6gQJaXkCJFCpo1a8a2bds4fvw4TZo0YcyYMfj6+lK/fn1++OEHjU4lAbWs5UUFBARw584dZs+ebXQpggJZbCRfvnyMGzeO6OhowsLCuHTpEjVr1iRnzpx8/fXX/Prrr/EfRF6IWtbyory8vKhfvz7jx4/XL3R2QIEsNuXh4UFAQACHDh1i165dlClThn79+uHl5UWbNm346aef9IOfSPTfVV5ESEgIJ0+eZNu2bUaXkuwpkCVRmEwmSpcuzcyZM7FYLAwePJhdu3bx9ttvU6RIESZNmsTt27eNLtMpqGUtL6NixYrkzZuX8ePHG11KsqdAlkT3xhtv8NFHH3Hu3DnWrl1L1qxZCQoKwtPTk27dumnsQsRAJpOJ4OBgli1bRnR0tNHlJGsKZEkyLi4u1KhRgxUrVnDx4kXef/99Fi9eTP78+Slfvjzz58/X6NRL0ApZXlSbNm1IlSoVkyZNMrqUZE2BLIbw8fHhiy++4PLly8yfPx+TyUSLFi3w9vamb9++XLp0yegSHYrJZFIgywtLnz49bdq0YdKkSdy/f9/ocpItBbIY6vHo1NatWzl+/Djvvvsu48aNI3v27NStW5e1a9dqdCoBdKe1vKzg4GCuXLnC8uXLjS4l2VIgi93Ily8fY8eOxWKxMGHCBKKioqhVqxZ+fn4MHz6ca9euGV2iXdMKWV5GgQIFKFu2rG7uMpACWeyOh4cHXbp04eDBg/z000+ULVuWAQMG4OXlRevWrdm1a5fC5z/UshZbCAkJid3oR5KeAlnslslkolSpUnz33XdYLBaGDBnC7t27KVOmDIULF2bChAncunXL6DLtglrWYgsNGzYkc+bM2t/aIApkcQivv/46vXr14uzZs/zwww/4+voSEhKC2WwmJCREv9GjlrW8vMf7W8+aNUv7WxtAgSwOxcXFherVq7N8+XIiIiLo3r07S5cupUCBApQrV4558+Zx7949o8tMcmpZi6083t961qxZRpeS7CiQxWF5e3szePBgLl++zMKFC3F1daVly5Z4e3vz6aefEhERYXSJSUYta7EVs9lMgwYNtL+1ARTI4vDc3d1p2rQpW7Zs4cSJEzRv3pzx48fHjk6tWbOGhw8fGl1motPFU2wlJCSEU6dOsXXrVqNLSVYUyOJU/P39GTNmDNHR0UyaNAmLxULt2rWdfnRKLWuxpQoVKpA3b17d3JXEFMjilNKkSUPnzp05cOAAu3fvpnz58rGjU61atWLnzp1OFWBqWYstPbm/tcViMbqcZEOBLE7NZDJRsmRJZsyYgcViYejQoezdu5d33nmHQoUKERYW5jSjU870C4YYr23btqROnVr7WychBbIkG6+//joffvghZ86cYd26deTIkYNu3brh6elJcHAwx44dM7rEF6aWtdhaunTptL91ElMgS7Lj4uJCtWrVWLZsGREREXzwwQcsW7aMggULUrZsWebOnetwo1NqWUtiCA4O5ueff2bZsmVGl5IsKJAlWfP29mbQoEGxo1Pu7u60atUKb29vPvnkE4candIKWWwtf/78lCtXTvtbJxEFsgj/G53avHkzJ0+epEWLFoSFhZE9e3bq1KnD6tWr7Xp0Si1rSSwhISFs377dod/ScRQKZJH/yJs3L6NHj8ZisTB58mSuXLlCnTp18PPzY9iwYfzyyy9Gl/j/KJAlsTze3zosLMzoUpyeAlnkGdKkSUOnTp3Yv38/e/bsoXz58gwcODB2dOrHH3+0mxDUe8iSWNzd3bW/dRJRIIvEw2QyUaJEidjRqWHDhrF3717Kli1LwYIF7WZ0yl5+ORDn83h/65kzZxpdilNTIIs8h9dee42ePXty5swZ1q9fT86cOWNHp4KCgjh69KghdallLYnJbDbTsGFDQkND9X2WiBTIIi/AxcWFqlWrsnTpUi5dukTPnj1ZsWIFhQoV4p133mHOnDlJOjqllrUktuDgYO1vncgUyCIvycvLi4EDB3Lp0iUWLVpEypQpad26Nd7e3vTp04eLFy8mSR1auUhiqlChAv7+/hqBSkQKZBEbcXd3p0mTJmzatIlTp07RsmVLJkyYQI4cOahduzbff/99oo1OqWUtie3x/tbLly8nKirK6HKckgJZJBHkyZOHUaNGxY5OXb16lbp165IjRw6+/PJLm49OqWUtSaFNmzakTp2ayZMnG12KU1IgiySiJ0en9u7dS6VKlRg0aBBeXl60bNmSHTt22GxlqxWyJLYn97f++++/jS7H6SiQRZLIW2+9xbRp07BYLAwfPpz9+/dTrlw5ChYsyPjx419qxlMta0kqISEh2t86kSiQRZLYa6+9xgcffMDp06fZsGEDuXLlonv37nh6etK1a1eOHDny3MdUy1qSSr58+Shfvrxu7koECmQRg7i4uFClShWWLFnCpUuX6NWrF6tWraJw4cKUKVOG2bNnc/fu3QQfTytkSSohISHs2LFD+1vbmAJZxA6YzWY+//xzIiIiWLx4MalTp6ZNmzZ4e3vz8ccfc+HChThfr5a1JKUGDRqQJUsWQkNDjS7FqSiQReyIu7s7jRs3ZuPGjZw+fZrWrVszadIk/Pz8qFWrFqtWrXrq6JRa1pKUntzf+saNG0aX4zQUyCJ2Knfu3IwcORKLxcLUqVO5du0a9erVI3v27AwdOpSrV6/+6+u1QpakFBAQwN27d5k1a5bRpTgNBbKInXvllVfo0KED+/btY9++fVSpUoXBgwfj7e1N8+bN2b59u1rWkuQ8PT21v7WNKZBFHEjx4sWZOnUq0dHRfPXVVxw6dIjy5cvz+++/s2fPHj0eT5JUSEgIp06dYsuWLUaX4hQUyCIOKEOGDPTo0YPTp0+zceNGXF1dWb16NZ6engQGBnL48GGjS5RkoHz58uTLl08jUDaiQBZxYCaTicqVK5MhQwZ69uzJRx99xPfff0+RIkV4++23mTVr1nONTok8j8f7W69YsUL7W9uAAlnECZhMJtKlS8eAAQOIiIhgyZIlpEmThrZt2+Ll5UXv3r05f/680WWKE2rdujWpU6dm0qRJRpfi8BTIIk7i8Y017u7uNGrUiA0bNnDmzBnatm3LlClT8PPzo2bNmqxcuTLRnjolyU+6dOlo27at9re2AQWyiBN41l3WuXLl4ttvvyUqKopp06bx22+/Ub9+fbJnz86QIUP4+eefDahWnE1wcDBXr17V/tYvSYEs4gTi2xjk8ejU3r17Y0enhgwZEjs6tW3bNo2uyAvLly8fFSpU0M1dL0mBLOIkEhqoj0enLBYLI0aM4PDhw1SoUIH8+fMzbtw47bwkLyQ4OFj7W78kBbKIE3iRjUEyZMhA9+7dOXXqFJs2bcLf358ePXpgNpsJCAjQ6JQ8lwYNGuDp6alV8ktQIIs4gZfZy9pkMlGpUiUWLVrE5cuX6d27N2vWrKFIkSKULl1ao1OSII/3t549e7a6LC9IgSziJGzxHrCnpyf9+/cnIiKCpUuXkjZt2tjRqY8++kijUxKnLl26cO/ePWbOnGl0KQ5JgSziBGy9l7WbmxsNGzZk/fr1nD17lnbt2jF16lT8/PyoUaMGK1as4MGDBzY7nzgH7W/9chTIIk4gMR+/mDNnTr755hssFgszZszg+vXrNGjQgOzZs/PFF19odEr+JSQkhNOnT7N582ajS3E4CmQRJ5HYK5LUqVPTrl079uzZw4EDB6hevTpDhw7F29ubZs2asXXrVq2KhHLlypEvXz5CQ0ONLsXhKJBFnEBSP36xaNGiTJ48mejoaL755huOHj1KxYoVyZcvH2PHjtVNPcmY9rd+cQpkESeQmC3ruLz66qu8//77nDx5ks2bN5M/f3569uyJp6cnAQEBHDp0yJC6xFht2rThlVdeYeLEiUaX4lAUyCJOwsh2sclkomLFiixcuJDLly/Tp08f1q5dS9GiRSlVqhQzZ87U6FQy8vju/MmTJ2t/6+egQBZxAkndso5LlixZ+Oyzz7h48SLLli0jffr0tGvXDrPZTK9evQgPDze6REkCQUFBXL16laVLlxpdisNQIIs4AaNa1nFxc3OjQYMGrFu3jrNnz9KhQwemT59Ozpw5qV69OsuXL9folBPT/tbPT4Es4iTsZYX8NDlz5mTEiBFERUXx3XffcePGDRo2bIivry+DBw/mypUrRpcoiSAkJIQff/yRo0ePGl2KQ1AgizgBe2pZxyV16tS0bduW3bt3c+DAAWrUqMGwYcPw8fHh3XffZcuWLQ7x7yEJU79+fTw9PTUClUAKZBEnYI8t6/g8Hp2yWCx8++23HDt2jEqVKuHv78+YMWP4448/jC5RXpL2t34+CmQRJ+GoK8tXX32V9957j5MnT7JlyxYKFizIhx9+iNlspnPnzhw8eNDoEuUlBAQEcO/ePb777jujS7F7CmQRJ+AoLeu4mEwmKlSowIIFC7h8+TKffPIJ69evp1ixYpQsWZLvvvuOO3fuGF2mPKcsWbLQqFEj7W+dAApkESfgiC3ruGTJkoV+/fpx4cIFli9fToYMGWjfvj1ms5kPP/yQc+fOGV2iPIeQkBDOnDmj/a3joUAWcRLOuPpwc3Ojfv36/PDDD5w7d45OnToxY8YMcuXKRbVq1Vi2bJlGpxxA2bJlyZcvn0ag4qFAFnECztCyjo+fnx9ff/117OjUrVu3aNSoEdmyZWPQoEFER0cbXaI8g8lkIiQkhBUrVhAZGWl0OXZLgSziBJytZR2Xx6NTP/30EwcPHqRWrVoMHz6crFmz0rRpUzZv3uz0v5w4otatW5MmTRomTZpkdCl2S4Es4iSSYwgVKVKESZMmER0dzciRIzlx4gSVK1fG39+f0aNHa3TKjmh/6/gpkEWcQHJoWcclffr0dOvWjRMnTrB161YKFixIr1698PT0pHPnzhw4cMDoEgUIDg7m6tWrLFmyxOhS7JICWcQJJKeWdVxMJhPly5dnwYIFREZG0rdvX9avX0/x4sUpUaIEM2bM0OiUgfz9/alYsaJ27noGBbKIk0jOK+SnyZw5M3379uXixYusWLGC119/nY4dO2I2m+nZsydnz541usRkSftbP5sCWcQJJPeWdVxcXV2pV68ea9eu5dy5c3Tu3JmZM2eSO3duqlatqtGpJFavXj08PT01AvUUCmQRJ6CWdcLkyJGDr776iqioKGbNmsWff/4ZOzo1cOBAjU4lAXd3dwIDA5k9e7ZuuvsPBbKIk9AKOeFSpUpF69at2bVrF4cOHaJ27dp8/fXX+Pj40KRJEzZt2qT/nomoS5cu/P3338ycOdPoUuyKAlnECahl/eIKFy7MxIkTsVgsjB49mlOnTlGlShXy5s3LqFGjuH79utElOp0sWbLQuHFj7W/9HwpkESeglvXLS58+PSEhIRw/fpxt27ZRpEgRevfujdlsplOnTuzfv9/oEp1KcHAwZ86cYdOmTUaXYjcUyCJOQisN2zCZTJQrV4558+YRGRlJv3792LhxI2+99RYlSpRg+vTp/PXXX0aX6fDKli1L/vz5dXPXExTIIk5ALevEkSlTJj799FMuXLjAypUreeONN+jUqZNGp2zg8f7WK1eu1P7W/1AgizgBtawTl6urK3Xr1mXNmjWEh4cTEBDArFmzyJ07N1WqVGHp0qUanXoBrVq1Ik2aNEycONHoUuyCAlnESWiFnDSyZ8/O8OHDiYyMZNasWdy5c4fGjRuTNWtWPv/8cywWi9ElOoy0adPSrl07Jk+ezL1794wux3AKZBEnoJZ10ns8OrVz504OHz5M3bp1GTFiBFmzZqVx48YanUqg4OBgfvnlF5YuXWp0KYZTIIs4AbWsjVWoUCEmTJhAdHQ0Y8aM4cyZM1SpUoU8efIwcuRIjU7FIW/evFSqVEk3d6FAFnEaWo0ZL126dAQHB3Ps2DG2b99O0aJF+fjjj/H09KRjx47s27fP6BLtUnBwMDt37uTIkSNGl2IoBbKIE1DL2r6YTCbKli0bOzrVv39/Nm3aRIkSJShevDjTpk3T6NQT6tevj9lsTvarZAWyiBNQy9p+ZcqUiU8++YQLFy6watUqMmXKROfOnTGbzfTo0YMzZ84YXaLh3NzcCAwMZM6cOcl6f2sFsoiT0ArZvrm6ulKnTh1Wr17N+fPnYwMoT548VK5cmcWLF3P//n2jyzTM4/2tv/vuO6NLMYwCWcQJqGXtWHx9fRk2bBhRUVHMnj2be/fu0bRpU7JmzcqAAQOIiooyusQklzlz5tj9rR89emR0OYZQIIs4AbWsHVPKlClp1aoVP/74I0eOHKF+/fp8++23ZMuWjUaNGrFhw4ZkFU4hISGcPXuWzZs3G12KIRTIIk5CK2THVrBgQcLCwrBYLIwZM4Zz585RrVo18uTJw7fffsvvv/9udImJ7p133qFAgQLJ9uYuBbKIE1DL2nk8Hp06evQoO3bsoHjx4vTp0wez2UyHDh3Yu3ev0/5dm0wmgoODWblyJZcvXza6nCSnQBZxAmpZOx+TycQ777zD3LlziYqKYsCAAWzdupWSJUtSvHhxpk6d6pSjU61bt8bDwyNZ7m+tQBZxEs66ahJ488036dOnD+Hh4Xz//fdkyZKFLl264OnpSY8ePTh9+rTRJdqMh4cH7dq1Y8qUKcluf2sFsogTUMs6eXB1daV27dp8//33nD9/nqCgIObOnRu7/aSzjE493t96yZIlRpeSpBTIIk5ALevkx9fXly+//JLIyEjmzJnD/fv3Y0en+vfv79CjU3ny5EmW+1srkEWchFbIyVPKlClp2bIlO3bs4OjRozRo0ICRI0eSLVs2GjZsyE8//WR0iS8kJCSEXbt2cfjwYaNLSTIKZBEnoJa1ABQoUIDQ0FCio6MZN24c58+fp1u3bgDMmjWL3377zeAKE65evXqYzWZCQ0ONLiXJKJBFnIBa1vKktGnT0rVrV44cOcLUqVMBGDduHF5eXrRv3549e/bY/S9wyXF/awWyiJOw9wusJD2TyUThwoUB+OGHH/j888/Ztm0bpUqVonjx4kyZMoU///zT2CLj0KVLF+7fv8+MGTOMLiVJKJBFnIBa1hKfDBky8PHHHxMeHs7q1avx9PQkICAAs9lM9+7dOXXqlNEl/j/JbX9rBbKIE1DLWhLK1dWVWrVqsWrVKi5cuEBwcDDz5s3D39+fihUrsmjRIrsanQoJCeHcuXNs2rTJ6FISnQJZxElohSzPK1u2bAwdOpTIyEjmzp3Lw4cPeffdd/Hx8aF///5ERkYaXSJlypRJNvtbK5BFnIBa1vIyUqZMSYsWLdi+fTvHjh2jUaNGjBo1imzZstGgQQPWr19vWMvYZDIREhLCqlWrnH5/awWyiBNQy1psJX/+/IwfPx6LxcL48eO5ePEi1atXJ1euXIwYMcKQ0alWrVoli/2tFcgiTkIrZLGlx6NThw8fZufOnZQqVYq+fftiNptp164du3fvTrLvOQ8PD9q3b8/kyZOden9rBbKIE1DLWhKLyWTi7bffZvbs2URFRTFo0CB27NhB6dKlKVasGJMnT06S0amgoCCuXbvG4sWLE/1cRlEgizgBtawlKWTMmJHevXsTHh7OmjVr8PLyIjAwEE9PT95///1EHZ3KkycPlStXduqduxw/kO/fhuuH4dc91n/ev210RSKG0ApZkoqLiws1a9Zk5cqVXLx4kW7durFgwQL8/f2pUKECCxcu5O+//7b5eZ+6v7UTZYCb0QW8kBsn4dwEiF4Dty8AT16ITOCRHTxrQc6ukN7fqCpFkoxa1mKUrFmzMmTIEAYMGMDSpUsJCwujWbNmZMqUic6dOxMQEICPj49NzlW3bl28vLxYOv0LCrfxdLoMcKwV8u2LsLkarM4H58Lg9nn+/ReB9ePb562fX53P+vW3LxpRrUiSUctajJYiRQqaN2/Otm3bOHbsGE2aNGHMmDH4+vpSv359fvjhh5cenXK7G8nWASkZVHIJMedCnS4DHCeQw6fAan+4usX6ccyDuL/+8eevbrG+LnxK4tYnYjCtkMVe5M+fn3HjxhEdHU1oaCiXLl2iZs2a5MqVi6+//ppff/31+Q/6TwZkTxMBgCnmYdxf74AZ4BiBfHwI7O0CD+/GH8T/FfPA+rq9XazHEXFCalmLPfLw8CAwMJBDhw6xa9cu3n77bfr164eXlxdt27blp59+Stj37RMZEG8Q/5cDZYD9B3L4FDjazzbHOtoPzk+1zbFE7Iha1mLPTCYTpUuXZubMmVgsFgYPHszOnTt5++23KVq0KJMmTeL27WfcjJWMMsC+A/n2RTjwnm2Pub+bw7yfIPI8tEIWR/DGG2/w0Ucfce7cOdauXYuPjw9BQUGYzWbee+89Tp48+b8vTmYZYN+BvDcQHj1nizo+jx5YjyviRNSyFkfj4uJCjRo1WLFiBRcvXuS9995j0aJF5MuXj/Lly7NgwQIe7e6SrDLAfgP5xkn4eUO87xlbfoeOkyBTEKRsB/l6w7Stcbwg5oH1uDfs79mfIi9KLWtxZD4+PnzxxRdcvnyZ+fPnYzKZGPhhc1x+2fTMDLh0DYKnQ+5ekLo9vB4ITUdDxLV4TmbHGWC/gXxuApjiHpO+egNKDYCNx6FbNRjdBvwyQafJMGptHC80uVlviRdxIlohi6NLkSIFzZo1Y+vWreyY1pKHMc/+RXPfBdh1FpqXgjFtoWtl2HQCKnwBf8W33bWdZoD9bgwSvSbe1XHfhfDwERwbBq+ntf5Z1yrQYhx8vhQCK0PqFE95YcwDiI4rsUUci1rW4mxev7sHTM/+nq5dBJqU/Pef1S0CpT+HJXuhTdk4Dm6nGWCfK+T7t/7ZfeXZYmKs/9HrFrWOhf9663//q14AbvwFB+N63/72eYfeYk3kSWpZi1NJQAY8udi6/wB+uwV+meHVV+BgRALOYYcZYJ8r5KfuvvJv127CH3/BpM3W/z3NLzfjOkIMp/at4k6q3C9aZZJ6vGl7Ym7eLo7rxo0buLq6cvDgQaNLETvjiNeO1HfPkDeeDLjzN3y5EqZvA8t16yLtsRt3EnKWGLgdDhkKv0ypNmWfgfww/uddPvrnP37rMtCu3NO/pqB33Mdo37Yle88/Z20Ga926tdEliB0rVqyY0SWInXKka0eJHLBnUNxf89531jDuUQNK54T0r4DJBM3HQoJ36ExA1iQl+wxk15TxfknGdJA2lfU95Cr5X+w0M2bOdagVcuvWrZk9ezZ58+Y1uhyxMx988AExMTGMGjXK6FLEzjjitSP13TMQ0TLOr1m817oY++aJ3zPu/m3tnCZYArImKdlnIHv4ASbialu7ukDjEjB3FxyPhPz/WQ1fu2kN7WczkfetuuDuYYOCk07evHkpWrSo0WWInXn11Vd59OiRvjfkmRzq2nE/F0TEnwH/vY9x7HrrIi1hTP9kjf2wz0B297A+Put23P3kYc1hy0koOQC6VAR/M/x+2/qG/sbj8PukOF7skcPhwlgkLrrLWpxGAjKgThGY9aO1Ve1vhp/OWa/7ryf0sm6HGWCfd1mD9VmW8cwhZ0oPewdBh3KwdB90mwGj11lDeXjzZ7/u/kNY8tNfLFiwIFEeoi2S1DT2JE4nngwY3QbaloU5O+HDOXDlD9j4CXikSsCxTW7gWdNmpdqKfa6Qwfpg6bNj4/2yN9PDuPbW/yWUuyusOOXJrGHNyZQpE506dSIwMNBmD9EWSWoaexKnE08GvJoGpgX8/z+PGJ2AY8c8gJxBL15bIrHfFXJ6f8hcNd5V8nMzuUHmqsxcvo/jx4/TtGlTxo0bh6+vL/Xq1bPJQ7RFjKAVsjiVRM4A0tvfDW72G8gAJSaCi43/MlzcrMcF8uXLx9ixY7FYLEyYMIHIyEhq1qxJzpw5+eqrr17sIdoiBlDLWpxSImeAvbHvQPbwhWLxt62fS/Fx1uM+eRoPD7p06cLBgwf56aefKFOmDP3798fLy4s2bdqwa9cuXezErqllLU4piTLAXth3IAP4dYaCX9jmWIWGQI5Oz/y0yWSiVKlSzJw5k6ioKL744gt27dpFmTJlKFKkCBMnTnz2Q7RFDKZfGsUpJWEGGM3+Axkgf18oMRlcUz3/+wkmN+vrSk6BfJ8m+GVvvPEGvXr14ty5c/zwww9ky5aN4OBgPD09CQkJ4fjx48/5LyGSeNSyFqdmQAYYwTECGay/JdU+CZkqWj+O5y/l4SNrC+/RmxWsr3vB34pcXFyoXr06y5cv5+LFi3Tv3p0lS5ZQoEABypUrx/z58zU6JYZTy1qc3nNmQOznM1V8qQxISo4TyGDt+1daD7VPWG9Zj93R60nW3Vd+e70ZeT+ClbdCbPZ+gY+PD4MHD+by5cssWLAAV1dXWrRogbe3N59++imXLl2yyXlEXoRWyOL0niMDyBlkDeJK6+32PeP/st855Lik94fiY6z///5t6xM7Ht6z7kvq4QfuHrwJZMh6ifHjx9OgQQObnj5FihS8++67vPvuu5w8eZIJEyYwfvx4hg0bRu3atQkKCqJ69eq4urra9Lwiz6KWtSQrCcgAR+RYK+SncfewPj7rjZLWfz7xFxEcHMzGjRs5c+ZMop3e39+fMWPGEB0dzaRJk7BYLNSuXZucOXMyfPhwrl27lmjnFnlMLWtJtuLIAEfj+IEch6ZNm5IxY0bCwsIS/Vxp0qShc+fOHDhwgN27d1OuXDkGDBiAl5cXrVu3ZufOnVrBSKLS95eIY3PqQE6ZMiWdO3dmxowZ/Pnnn0lyTpPJRMmSJZkxYwYWi4WhQ4eyZ88e3nnnHQoXLsyECRO4detWktQiyYda1iKOz6kDGSAwMJBbt24xZ86cJD/366+/zocffsiZM2dYt24d2bNnJyQkBLPZrNEpsSm1rEUcn9MHctasWalTpw7jx483bAXh4uJCtWrVWLZsGREREfTo0YOlS5dSoEABypYty7x587h3754htYnz0ApZxLE5fSADhISEcPToUXbt2mV0KXh7ezNo0CAuX77MwoULcXd3p2XLlnh7e/PJJ58QERFhdInigNSyFnF8ySKQq1SpQs6cORk/frzRpcRyd3enadOmbN68mZMnT9KiRQvCwsLInj07derUYc2aNTx8+NDoMsVBqGUt4viSRSC7uLgQFBTE4sWLuXr1qtHl/D958+Zl9OjRWCwWJk+ezJUrV6hduzZ+fn4MGzaMX375xegSxQFohSzi2JJFIAO0b98eNzc3Jk+ebHQpz5QmTRo6derE/v372bNnD+XLl2fgwIF4e3vTt29fQBddeTq1rEUcX7IJ5AwZMtCqVSsmTpzIgwcPjC4nTiaTiRIlSsSOTn355ZecOHECgObNmxMWFqbRKfkXtaxFHF+yCWSw7twVFRXFqlWrjC4lwV577TV69uzJ0qVLAetNYd26dcPT05Pg4GCOHTtmcIViL7RCFnFsySqQixQpQunSpe3q5q6EcnGx/lWNGDGCS5cu0bNnT5YvX07BggUpW7Ysc+fO1ehUMqaWtYjjS1aBDNYRqE2bNnH69GmjS3lhXl5eDBw4kEuXLrFo0SJSpEhBq1atNDqVjKllLeL4kl0gN2nSJMn2t05s7u7uNGnShE2bNnHq1ClatmwZOzpVu3ZtVq9erdGpZEQrZBHHluwC+cn9rW/fvm10OTaTJ08eRo0aFTs6dfXqVerUqUOOHDn48ssvNTrl5NSyFnF8yS6QAbp27crt27cN2d86sT05OrV3714qVqzIoEGD8PLyomXLluzYsUMXbieklrWI40uWgezj40PdunUJDQ116nB66623mD59OhaLheHDh7N//37KlStHwYIFCQ0N5ebNm0aXKDbkzN/LIslBsgxk+N/+1jt37jS6lET32muv8cEHH3D69Gk2bNhAzpw5ef/99zGbzQQFBXH06FGjS5SXpJa1iONLtoFcuXJlu9vfOrG5uLhQpUoVli5dyqVLl/jwww9ZsWIFhQoVokyZMsyZM0ejUw5KLWsRx5dsA9nFxYXg4GCWLFnCzz//bHQ5Sc5sNvP5559z6dIlFi9eTOrUqWndujVeXl58/PHHXLhwwegS5TlphSzi2JJtIMP/9reeMmWK0aUYxt3dncaNG7Nx40ZOnz5N69atmTRpEn5+ftSqVYtVq1ZpdMoBqGUt4viSdSC/+uqrDrO/dVLInTs3I0eOxGKxMGXKFK5du0a9evXIkSMHQ4cOtcsnZYmVWtYiji9ZBzJYb+6Kiopi5cqVRpdiN1555RU6duzIvn372Lt3L5UqVWLw4MF4e3vTokULtm/frtWYHdLfiYhjS/aBXLhwYd5++21CQ0ONLsUuvfXWW0ybNo3o6Gi++uorDh48SPny5SlQoADjx4/X6JSdUMtaxPEl+0AG59jfOrFlyJCBHj16cPr0aTZu3EiePHno3r07np6edO3alSNHjhhdYrKmlrWI41MgA40bNyZjxoxaJSeAyWSicuXKLF68mEuXLvHRRx+xatWq2E7D7NmzuXv3rtFlJktaIYs4NgUy1v2tu3TpwnfffedU+1snNrPZzIABA4iIiGDJkiWkSZOGNm3aaHTKAGpZizg+BfI/AgMDnXZ/68Tm7u5Oo0aN2LBhA2fOnKFt27ZMnjwZPz8/atasqdGpJKCWtYjjUyD/4/H+1uPHj9dK4yXkypWLb7/9lqioKKZOncpvv/1GvXr1yJ49O0OGDNHoVCLS962IY1MgPyEkJIRjx47x448/Gl2Kw3vllVfo0KEDe/fuZd++fVSpUoUhQ4bg7e1N8+bN2bZtmwLEhtSyFnF8CuQnVK5cmVy5cunmLhsrXrw4U6dOxWKx8PXXX3P48GEqVKhA/vz5GTduHDdu3DC6RIenlrWI41MgPyG572+d2DJkyED37t05deoUmzZtwt/fnx49emA2mwkMDOTw4cNGl+jQtEIWcWwK5P9o164d7u7uTJ482ehSnJbJZKJSpUosWrSIy5cv07t3b1avXk2RIkV4++23mTVrlkannpNa1iKOT4H8H9rfOml5enrSv39/IiIiWLp0KR4eHrRt2xYvLy969+7N+fPnjS7RIahlLeL4FMhPERISgsVi0f7WScjNzY2GDRuyfv16zp49S7t27ZgyZQp+fn7UqFGDlStXanQqHlohizg2BfJTFCpUiDJlyjB+/HijS0mWcubMyTfffIPFYmH69Olcv36d+vXr4+vryxdffKH3959CLWsRx6dAfobg4GA2b97MqVOnjC4l2UqdOjXt27dnz5497N+/n2rVqjF06FC8vb1p1qwZW7duVQj9Qy1rEcenQH6Gxo0b8+abb2oEyk4UK1aMKVOmEB0dzYgRIzhy5AgVK1YkX758jB07VqNTqGUt4ugUyM+g/a3t06uvvho7OrV582by5ctHz5498fT0JCAggEOHDhldoiHUshZxfArkOAQEBPDnn38ye/Zso0uR/zCZTFSsWDF2dKpPnz6sWbOGokWLUqpUKWbOnJmsRqfUshZxfArkOPj4+FCvXj3tb23nsmTJwmeffUZERATLli0jffr0tGvXDrPZTK9evQgPDze6xCSh71ERx6ZAjkdISAjHjx/X/tYOwM3NjQYNGrBu3TrOnj1Lhw4dmDZtGjlz5qR69eqsWLHCaWfL1bIWcXwK5HhUrlyZ3LlzawTKweTMmZMRI0ZgsViYMWMGN27coEGDBvj6+jJ48GCuXLlidIk2pZa1iONTIMfDZDIRFBTEkiVLnO4inhykTp2adu3asXv3bg4cOECNGjUYNmwYPj4+vPvuu2zZssVpVpbO8u8hklwpkBOgXbt2pEiRQvtbO7iiRYsyefJkLBYL33zzDceOHaNSpUrky5ePMWPG8Mcffxhd4gtTy1rE8SmQE+DVV1+ldevWTJw4kfv37xtdjrykV199lffff5+TJ0+yZcsW8ufPz4cffojZbKZLly4cPHjQ6BKfm1rWIo5PgZxAwcHBREdHa39rJ2IymahQoQILFy6MHZ364YcfKFasGKVKleK7777jzp07RpeZYFohizg2BXICaX9r5/Z4dOrixYssX76c9OnT0759e7y8vBxidEotaxHHp0B+DiEhIWzZsoWTJ08aXYokEjc3N+rXr8+6des4d+4cHTt2ZPr06eTMmZNq1aqxfPlyuxydUstaxPEpkJ/D4/2tw8LCjC5FkoCfnx9ff/01UVFRfPfdd9y6dYuGDRvi6+vLoEGD7O6ue62QRRybAvk5pEiRInZ/61u3bhldjiSR1KlT07ZtW3766ScOHjxIzZo1GT58OD4+PjRt2tQuRqfUshZxfArk5xQYGKj9rZOxIkWKMGnSJKKjoxk5ciQnTpygUqVK+Pv7M3r0aMNGp9SyFnF8CuTn5O3tTf369QkNDdWKJBlLnz493bp148SJE2zdupWCBQvSq1cvPD096dy5MwcOHEjymvT9KOLYFMgvIDg4mOPHj7Njxw6jSxGDmUwmypcvz4IFC4iMjKRv376sX7+e4sWLU7JkSWbMmJEko1NqWYs4PgXyC9D+1vI0mTNnpm/fvly4cIEVK1bw2muv0aFDB8xmMx9++CHnzp1LtHOrZS3i+BTIL8BkMhEcHMzSpUvt7k5bMZ6bmxv16tVj7dq1hIeH07lzZ7777jty5cpF1apVWbZsWaKMTmmFLOLYFMgvSPtbS0LkyJGDr776iqioKGbOnMmff/5Jo0aNyJYtGwMHDiQ6Otom51HLWsTxKZBfUPr06bW/tSRYqlSpaNOmDbt27eLQoUPUrl2br7/+Gh8fH5o0acKmTZteKlDVshZxfArklxASEkJ0dDQrVqwwuhRxIIULF2bixIlYLBZGjRrFqVOnqFKlCnnz5mXUqFFcv379hY6rFbKIY1Mgv4SCBQvyzjvvEBoaanQp4oAej04dP36cbdu2UbhwYXr37o3ZbKZTp07s378/wcdSy1rE8SmQX5L2t5aXZTKZKFeuHPPnzycyMpJ+/fqxceNG3nrrLUqUKMH06dP566+/4j2GiDg2BfJLatSoEZkyZdIqWWwiU6ZMfPrpp1y4cIGVK1fy+uuv06lTJ8xmMz179uTs2bPPfK1WyCKOTYH8kh7vbz1z5kztby024+rqSt26dWNHpwICApg5cya5c+emSpUqLF269F+jU2pZizg+BbINBAYG8tdff2l/a0kU2bNnZ/jw4URFRTFr1izu3LlD48aNyZo1K59//jkWi0UtaxEnoEC2AS8vL+rVq8f48eO1SpFEkypVKlq3bs3OnTs5fPgwdevWZcSIEWTNmpUFCxZw9+5dff+JODAFso2EhIRw4sQJtm/fbnQpkgwUKlSICRMmEB0dzejRo/ntt9/4/fffyZMnDyNHjnzh0SkRMY4C2UYqVapEnjx5tL+1JKl06dIREhJCSEgIr732GkWLFuXjjz/GbDbTsWNH9u3bZ3SJIpJACmQbeby/9bJly2y2HaJIQplMJtzd3Zk3b17s6NSmTZsoUaIEb731FtOmTYt3dEpEjKVAtqG2bduSMmVK7W8tSe7Ju6yfHJ1atWoVGTNmpHPnzpjNZj744APOnDljcLUi8jQKZBvS/tZilKfdZe3q6kqdOnVYs2YN4eHhBAYGMnv2bPLkyUOVKlVYsmSJvk9F7IgC2caCg4O5cuWK9reWJBfXHdbZs2dn2LBhREVFMXv2bO7cuUOTJk3+NTolIsZSINvY4/2tdXOXJKWEbgySMmVKWrVqxc6dOzly5Aj169ePHZ1q1KgRGzdu5NGjR0lQsYj8lwI5EYSEhLB161ZOnDhhdCmSTLzIxiAFCxYkLCyM6OhoxowZw7lz56hatSp58uTh22+/5ffff0+ESkXkWRTIiUD7W4sRXnRTkHTp0hEcHMzRo0fZsWMHxYsXp0+fPpjNZjp06KDRKZEkokBOBClSpIjde1j7W0tSsMVe1iaTiXfeeYe5c+cSFRXFgAED2LJlCyVKlKB48eJMnTpVo1MiiUiBnEgCAgK4c+cOs2bNMroUSQZsvZf1m2++SZ8+fTh//jzff/89mTJlokuXLnh6etKjRw9Onz5t0/OJiAI50Xh5eVG/fn3tby1JJjG+z1xdXalduzarV6/m/PnzBAUFMWfOHPLmzUulSpVYvHixRqdEbESBnIhCQkI4efIk27ZtM7oUcXJJ8fhFX19fvvzyS6KiopgzZw7379+nadOmZM2alf79+xMVFZWo5xdxdgrkRFSxYkXy5Mmjm7sk0SXl4xdTpkxJy5Yt2bFjB0ePHqVBgwaMHDmSbNmy0bBhQ9avX6/RKZEXoEBORNrfWpKSEW+NFChQgNDQUKKjoxk7diznz5+nevXq5M6dm2+++YbffvstyWsScVQK5ET2eH/rSZMmGV2KOLGkaFnHJW3atAQFBXHkyBF+/PFHSpQowaeffoqXlxft27dnz549updCJB4K5ESWPn162rRpw6RJk3TziyQaowP5yTrKlCnDnDlziIyMZMCAAWzbto1SpUpRvHhxpkyZwp9//ml0mSJ2SYGcBB7vb718+XKjSxEnlZTvISfU49Gp8PBwVq9eTZYsWQgICMBsNtO9e3dOnTpldIkidkWBnAQKFChA2bJltb+1JCp7WCE/jaurK7Vq1eL777/nwoULBAcHM2/ePPz9/alYsSKLFi1S90gEBXKSCQkJYdu2bRw/ftzoUsQJ2UvLOj7ZsmVj6NChREZGMnfuXB4+fMi7776Lj48P/fv3JzIy0ugSRQyjQE4iDRs2JHPmzISFhRldijghe2xZxyVlypS0aNGC7du3c/ToURo1ahQ7OtWgQQONTkmypEBOIilSpKBLly7MnDmTmzdvGl2OOCFHWCE/TYECBRg/fjzR0dGMHz+eixcvUr16dXLlysWIESM0OiXJhgI5CQUGBmp/a0kUjtKyjkvatGnp2rUrhw8f5scff6RUqVL07dsXs9lMu3bt2L17t8P/O4rERYGchMxmMw0aNCA0NFQXFrEpR2tZx+Xx6NTs2bOJiopi4MCB7Nixg9KlS1OsWDEmT56s0SlxSgrkJBYcHKz9rSVROOMveRkzZuTjjz8mPDycNWvWYDabCQwMxNPTk/fff1+jU+JUFMhJrGLFiuTNm1cjUGJTztCyjouLiws1a9Zk1apVXLhwgZCQEBYsWBA7OrVw4UL+/vtvo8sUeSkK5CT25P7WFovF6HLESThTyzo+T45OzZs3j4cPH9KsWTN8fHz47LPPNDolDkuBbIC2bduSKlUqJk+ebHQp4kSceYX8NClSpKB58+Zs376dY8eO0aRJE0aPHk22bNmoX78+69at0+iUOBQFsgHSpUun/a3Fppy9ZR2f/PnzM27cOCwWC6GhoURERFCjRg2NTolDUSAbJCQkhCtXrrBs2TKjSxEnkJxa1nFJmzYtgYGBHD58mJ07d1K6dOnY0am2bdvy008/JetfXMS+KZANkj9/fsqVK6ebu8RmFDT/YzKZePvtt5k1axZRUVEMGjSIH3/8kbfffpuiRYsyadIkbt++bXSZIv+iQDZQSEgI27dv1/7W8tKSe8s6LhkzZqR3796xo1Pe3t4EBQVhNpt57733OHnypNEligAKZEM1aNCAzJkzExoaanQp4uDUso7f49GplStXcuHCBbp168bChQvJly8f5cuXZ8GCBRqdEkMpkA2UIkUKAgICmDVrlva3lpemFXLCZc2alSFDhhAZGcn8+fMxmUw0b94cHx8f+vbty+XLl40uUZIhBbLBAgICtL+1vDS1rF9MihQpaNasGVu3buX48eM0bdqUsWPH4uvrS7169fjhhx80OiVJRoFssMf7W48fP14XVHlhalm/vHz58jF27Fiio6MJCwsjMjKSmjVrkjNnTr766it+/fVXo0sUJ6dAtgMhISGcOnWKrVu3Gl2KODD9QmcbHh4eBAQEcPDgQXbt2kWZMmXo378/Xl5etGnThl27dum/tSQKBbIdqFChAv7+/hqBkhemFbLtmUwmSpcuzcyZM4mKimLw4MGxAV2kSBEmTpyo0SmxKQWyHXi8v/Xy5cu1v7W8EAVy4nrjjTf46KOPOHfuHD/88ANZs2YlODgYT09PunXrxokTJ4wuUZyAAtlOtGnThtSpUzNp0iSjSxEHplZq4nJxcaF69eqsWLGCixcv8v7777N48WLy589P+fLlmT9/vkan5IUpkO3Ek/tb6wdantfjFbICOen4+PjwxRdfcPnyZRYsWIDJZKJFixZ4e3vTt29fLl26ZHSJ4mAUyHYkODiYn3/+Wftby3NTy9o4KVKk4N1332Xr1q2cOHGCZs2aMW7cOLJnz07dunVZu3atRqckQRTIduTx/tbauUtelFbIxvL392fMmDFYLBYmTJhAVFQUtWrVws/Pj+HDh3Pt2jWjSxQ7pkC2M4/3tz527Nj//vD+bVLfPUOJHJD67hm4rzs75d/UsrYvHh4edOnShYMHD/LTTz9RtmxZBgwYgJeXF61bt0660SldOxyKKSYB3xU3b94kffr03Lhxg3Tp0iVFXcnW/fv3yZo1K4EtyjKgRSaIXgO3LwBP/jWZwCM7eNaCnF0hvb9R5YqdmDFjBh06dOD+/fu4ubkZXY48xW+//cb06dOZMGEC58+fp2DBggQFBdGqVSvSpk1ruxPdOAnnJujaYUcSmqEKZHtz+yLn51UhR5oLxJhcMcU8fPbXmtwg5gFkrgolJoKHb9LVKXblcSD//fffuLu7G12OxOHRo0ds2LCBsLAwVq1aRZo0aWjTpg1BQUHkz5//xQ98+yLsDYSfN/zv2vAsunYkqYRmqFrW9iR8Cqz2J3sa692ZcYYx/O8H7uoWWO1vfb0kS2pZO47Ho1PLly8nIiKC7t27s3TpUgoUKEC5cuWYN28e9+7de76D/nPt4OoW68dxhfGTn9e1w64okO3F8SGwtws8vIuJ/x/E+87D259Dmo5gagWHI574ZMwDeHjX+vrjQ5KqYrEjusvaMXl7ezN48GAuX77MwoULcXV1pWXLlnh7e/Ppp58SERER/0GeuHY8GcSfL7FeK369Fcdrde2wKwpkexA+BY72e+an7z+ApmPg99swsjXMCoKsGZ/xxUf7wfmpiVOn2D2tkB2Tu7s7TZs2ZcuWLZw4cYLmzZszfvx4smfPTp06dVizZg0PHz6lYxbPteO56NphOAWy0W5fhAPvxfkl53+BS79Cr9oQUAlavwMZ0sTxgv3drMeVZEMta+fxeHQqOjqaSZMmER0dTe3atfHz82PYsGH88ssv1i9MwLXjuenaYSgFstH2BsKjuN/v+eWG9Z+vvpLAYz56YD2uJBtqWTufNGnS0LlzZw4cOMDu3bspX748n3/+Od7e3rRq1Yrr65oRE8+147np2mEoBbKRbpy03hEZxw0Y7SdA+S+s/7/pGOt7QhW+iOe4MQ+sx71xyna1ikPQCtn5mEwmSpYsyYwZM7BYLAwdOpTfL/5Ihnv7MMV38xbwx5/W68irXSB9Z+gwEf561j1junYYSoFspHMTrOMHcQisDJ/Wt/7/96tb3z/uWz8Bxza5wbmwl69RHIJa1snD66+/zocffsia0fV4lMDL97tj4dZd+LIZvFsSZmyHgUvjeIGuHYbRDgJGil4T73hC6Zxw7z4MXQFlc0OTkgk8dswDiF778jWKQ1DLOnkxXVmLiYTtj10kK0wN+N/Hv92GqVtheItnvEDXDsNohWyU+7f+2UUnEd0+r63ykhmtkJOB57x2dK3874/L5rGG8s2/4niRrh2GUCAb5fZ5/r2lXWKIgdvhiXwOsQdqWScjz3nt8Hnj3x9n+Ofm0Ot/xvUqXTuMoEA2ysPn3InH3s8jhlLLOhl5zp9p12dc5eONdF07kpwC2SiuKZ3rPGIXtEJOBnTtcFoKZKN4+AGJvaox/XMecXZqWScjunY4LQWyUdw9rI9BS0weOaznEaenlnUy4u5BTJpEfjqTrh2GUCAbybNWvHPIL+rBQ9h/5U2uXbuWKMcX+6QVsnO7du0aw4cP57uNv3I/nofBvTCTG3jWTKSDS1wUyEbK2TX+x6QBFfwhZs5zzCADbq7Qadg+vLy8aN26Nbt27dLF2ompZe28YmJi2LlzJ61bt8bLy4sBAwZw5mEF3F3jft3nja3XjTfS/vvP25e3/nm2Zz2gJuYB5AyySe3yfBTIRkrvb31AuK1XySY3yFyVzfuvMGTIEHbv3k2ZMmUoXLgwEyZM4NatuJ7HJo5ILWvnc+vWLSZMmEDhwoV555132L17N0OHDsVisfBl6IpEvXaQPq9tjysJokA2WomJ4GLjHyoXNygxkddff51evXpx9uxZfvjhB3x9fQkJCcFsNhMSEsLx48dte14xnFbIju/YsWMEBwfH/pz6+vqybt06zp49y4cffsjrr79u/cJEvHaIMRTIRvPwhWJjbXvM4uOsx/2Hi4sL1atXZ/ny5URERNC9e3eWLl1KgQIFKFu2LPPmzePePc0cOjK1rB3bvXv3mDt3LmXLlqVgwYIsW7aMHj16EBERwfLly6lWrRouLv+5XCfBtUOSlgLZHvh1hoLxPcIpgQoNgRydnvlpb29vBg8ezOXLl1m4cCFubm60bNkSb29vPvnkEyIiImxThyQptawdU0REBJ988knsIxXd3d1ZuHAhly9fZtCgQXh7e8d9gCS8dkjiUyDbi/x9ocRkcE31/O8Lmdysrys5BfJ9mqCXuLu707RpU7Zs2cKJEydo3rw5oaGhZM+enTp16rBmzRoePkys2zglsWiFbP8ePnzI6tWrqVOnDtmzZycsLIwWLVpw8uRJNm/eTNOmTXF3d0/4AZP42iGJR4FsT/w6Q+2TkKmi9eP4frgefz5TRevrXvC3W39/f8aMGUN0dDSTJk0iOjqa2rVr4+fnx7Bhw/jll19e6LiSdNSytn+//PILw4YNw8/Pjzp16sT+vFksFkaPHk3evC9xI5VB1w6xLVNMAn6Cb968Sfr06blx4wbp0qVLirrkxknr85Kj1z5lM3mTdXDfs6Z1PMHGd0TGxMSwd+9ewsLCmD9/PjExMTRp0oSgoCDKlCmj9qgdWr58OQ0bNuTatWu88cYb8b9AksTjkaWwsDAWLVqEq6srzZo1IygoiBIlSiTOz5KB1w55uoRmqALZEdy/bX3yysN71v1lPfySbBed3377jRkzZjBhwgTCw8MpUKAAQUFBtG7dmrRp08Z/AEkSjwP5l19+IWPGZw2YSlK5desWs2fPJjQ0lOPHj+Pn50fXrl1p3779/+6STgoGXjvkfxKaoWpZOwJ3D8hQGN4oaf1nEv5Avf7663z44YecOXOGdevWkSNHDrp164anpyfBwcEcO3YsyWqRZ1PL2j4cPXqUoKAgPD096datG35+fqxfv54zZ878e2QpqRh47ZDnp0CWBHFxcaFatWosW7aMiIgIPvjgA5YtW0bBggUpW7Ysc+fO1eiUgfQ2gnHu3bvHnDlzeOeddyhUqBDLly+nZ8+eXLp0iWXLllG1atX/P7Ik8hT6LpHn5u3tzaBBg2JHp9zd3WnVqpVGp+yAVshJ5+LFi/Tp0wdvb29at25NihQpWLRoEZcvX2bgwIF4eXkZXaI4GAWyvLDHo1ObN2/m5MmTtGjRgrCwMLJnz07t2rVZvXq1RqeSiFrWSePhw4d8//331K5dmxw5cjBhwgRatmzJqVOn2Lx5M02aNHm+kSWRJyiQxSby5s3L6NGjsVgsTJ48mZ9//pk6deqQI0cOvvzyS41OJTK1rBPXL7/8wpdffkmOHDmoW7cuV69eZfLkyVgsFkaNGkWePHmMLlGcgAJZbCpNmjR06tSJ/fv3s2fPHipWrMigQYPw8vKiZcuW/Pjjj1rFJSL9t7WdmJgYduzYQcuWLfHy8mLQoEFUrFiRvXv3sn//fjp16kSaNGmMLlOciAJZEoXJZKJEiRJMnz4di8XCsGHD2L9/f+xevaGhody8edPoMp2GWta2c/PmTcaPH0/BggUpV64c+/fvZ/jw4VgsFqZPn85bb71ldInipBTIkuhee+01evbsyenTp1m/fj05c+bk/fffx2w2ExQUxNGjR40u0eGpZf3yjhw5QteuXfH09KR79+7kzJmTDRs2cPr0aT744ANee+01o0sUJ6dAliTj4uJC1apVWbp0KREREfTs2ZMVK1ZQqFAhypQpw5w5czQ69ZK0Qn4+d+/eZfbs2bHPC1+5ciW9evXi0qVLLF26lCpVqmhkSZKMvtPEEF5eXgwcOJBLly6xePFiUqVKRevWrfHy8uLjjz/mwoULRpfoUNSyfj4XLlzg448/xtvbmzZt2pA6dWoWL17MpUuX+PzzzzGbzUaXKMmQAlkM5e7uTuPGjdm0aROnT5+mdevWTJw4ET8/P2rVqsWqVas0OpUAalnH7+HDh6xatYpatWrh5+fHpEmTaN26NadPn2bjxo00btxYI0tiKAWy2I3cuXMzcuRIoqOjmTJlCr/88gv16tUjR44cDB06lKtXrxpdot3TCvn/u3r1KkOHDiV79uzUq1ePa9euMWXKFCwWCyNHjiR37txGlygCKJDFDr3yyit07NiR/fv3s3fvXipVqsTgwYPx9vamRYsWbN++XcHzH2pZ/1tMTAzbt2+nefPmeHt7M3jwYCpXrszevXvZt28fHTt25JVXXjG6TJF/USCLXXvrrbeYNm0aFouF4cOHc+DAAcqXL0+BAgUYP368Rqf+oZa11eORpQIFClC+fHkOHToUO7I0bdo0jSyJXVMgi0N47bXX+OCDDzh9+jQbNmwgd+7cdO/eHU9PT7p27cqRI0eMLtEuJNcV8uHDhwkMDIwdWcqdOzcbN27UyJI4FAWyOBQXFxeqVKnCkiVLuHTpEr169WLVqlUULlyYt99+m9mzZ3P37l2jy0xyybFlfffuXWbNmsXbb79NkSJF+P777/noo4+4dOkSS5YsoXLlyuociENRIIvDMpvNfP7550RERLB48WJeeeUV2rRpkyxHp5JT8Jw/f57evXvj5eVF27ZtSZMmDUuWLCEiIoIBAwZoZEkclgJZHN7j0anHLco2bdowadIk/Pz8qFmzZrIanXLWFfLDhw9ZuXIlNWvWxM/Pj8mTJ9O2bVvOnDnDhg0baNSokUaWxOEpkMWpPB6dslgsTJ06lV9//ZV69eqRPXt2hgwZws8//2x0iYnCWVvWP//8M0OGDMHX15f69evz22+/xd7k9+2335IrVy6jSxSxGQWyOKVXXnmFDh06sG/fPvbt20eVKlUYMmQI3t7eNG/enG3btjlVeDlTyzomJoZt27bRrFkzvL29GTJkCFWrVmXfvn3s3buXDh06aGRJnJICWZxe8eLFmTp1KhaLha+//ppDhw5RoUIF8ufPz7hx47hx44bRJdqMI/+ScePGDcaOHUv+/PmpUKECR44cYcSIEbHdjuLFixtdokiiUiBLspEhQwZ69OjB6dOn2bRpE3nz5qVHjx6YzWYCAgI4fPiw0SW+MEduWR86dIiAgAA8PT354IMP8Pf3Z9OmTZw6dYru3buTIUMGo0sUSRIKZEl2TCYTlSpVin2YwEcffcTq1aspUqQIpUuXZtasWQ43OuVoLeu7d+8yc+ZMSpcuTdGiRVmzZg0ff/wxly9fZtGiRVSqVMnh/p1EXpYCWZI1s9nMgAEDYh+35+HhQdu2bfHy8uKjjz7i/PnzRpf4XOx9hXz+/Hk++ugjvLy8aNeuHWnTpo19HGf//v3x9PQ0ukQRwyiQRQA3NzcaNmzIhg0bOHPmDO3atWPq1Kn4+flRo0YNVqxYwYMHD4wu85nsuWX94MEDVqxYQY0aNfDz82Pq1Km0a9eOs2fPsn79eho2bIibm5vRZYoYToEs8h+5cuXim2++wWKxMH36dK5fv06DBg3Inj07X3zxhV2OTtlje/fnn3/miy++wNfXlwYNGnD9+nWmT5+OxWLhm2++IWfOnEaXKGJXFMgiz5A6dWrat2/Pnj172L9/P9WqVWPo0KF4e3vTrFkztm7dancrUqPriYmJYevWrbz77rt4e3szdOhQqlevzv79+9mzZw/t27cnderUhtYoYq8UyCIJUKxYsdhn6I4YMYIjR45QsWJF8uXLx9ixYw0fnTK6Zf14ZClfvnxUrFiRo0ePMmLEiNhnWxcrVsyQukQciQJZ5DlkyJCB7t27c+rUKTZt2kS+fPno2bMnnp6eBAQEcOjQIUPqMqplffDgQbp06YKnpyc9e/YkX758bN68OXZk6dVXXzWkLhFHpEAWeQGPR6cWLVrEpUuX+Pjjj1mzZg1FixalVKlSzJw5M+lGp+7fJs3f5yiRA1L8eRLu307U0925c4fvvvuOUqVKUaxYMdauXUufPn1iR5YqVqxol+9pi9g7U0wCelw3b94kffr03Lhxg3Tp0iVFXSIO58GDB3z//feEhoayYcMGXnvtNTp06EDXrl3x8/Oz7clunIRzEyB6Ddy+ADz5Y2wCj+zgWQtydoX0/jY5ZXh4OBMmTGD69On8/vvvVKtWjaCgIOrUqaO7pEXikNAMVSCLJIJz587Fhtf169dtF163L8LeQPh5A5jcICaOUazHn89cFUpMBA/f5z7d418ywsLCWL9+PRkyZKBjx44EBgbqLmmRBEpohqplLZIIcubMGTs6NWPGDP744w8aNmyIr68vgwcP5sqVK89/0PApsNofrm6xfhxXGD/5+atbrK8Ln5LgU125coVBgwbh6+tLw4YNuXHjBjNmzIi9qU1hLGJ7WiGLJJGDBw8SFhbGnDlzuH//Pg0bNiQoKIgKFSrE/57r8SFwtN/LF1HwC8jf96mfejyyFBoayvLly0mRIgUtW7YkKCiIokWLvvy5RZIptaxF7NQff/zBzJkzCQsL4/Tp0+TJk4egoCDatm379LuSw6fA3i62K6DkFMjR6V/1fPfdd0yYMCFh9YjIc1Egi9i5xyvSsLAwli1bRooUKWjRogXBwcH/W5HevmhtNz+04R3brqmg9kkOnPmdsLAw5s6dG7tiDw4Opnz58rpLWsSGFMgiDuTKlStMmTKFSZMmERUVRYkSJQgODqa15yxcf90W//vFz+FRjAt7L3tQ+tObeHt7ExAQQKdOnciSJYvNziEi/6NAFnFADx48YPXq1YSGhhJ5Yj0nv4r767eehF5z4XgUmDNA7zpw5Q8YuBRi5sT92k2px1K+bleNLIkksoRmqH4SReyIm5sb9evXp379+vyxqS0Pf56Nq+npvzMfioAaX0GWV2FgY3j4CAYtg4xpE3AikxuVvc+CwljEbuinUcROvfrnLnhGGAMMWAKuLrBzAHhmsP7ZuyUhb+8EHDzmAUSvtU2hImITmkMWsUf3b/2zA9fTPXwEG49Dg2L/C2MAv8xQs1ACz3H7fKJvsykiCadAFrFHt8/z7+0w/+2XG3Dnb/DL9P8/97Q/e7oYuB3+ItWJSCJQIIvYo4f3nOs8IhIvBbKIPXJNGeen30wPqdwh/Or//9zT/uxFzyMiSUeBLGKPPPyAZ2/O4eoCVfLD8gMQff1/fx7+M6w9ktCTmP45j4jYAwWyiD1y97A+QjEOnzeGBw+hzED4ahV8uQLKfwH5vRJ4Do8c1vOIiF1QIIvYK89a1kcoPkMxX1jbGzKkgc8Ww9RtMKgJVM5nbWfHyeQGnjVtW6+IvBTNIYvYq5xd4ezYOL+kUj44OOTff9bgW/B6LZ5jxzyAnEEvV5+I2JRWyCL2Kr0/ZK4a5yr5zt///vjcz7DmMFTIG8dxTW7W46aP64tEJKlphSxiz0pM/OdpT09/uET2D6B9Wcj+Jlz6FcI2QQo36F03jmO6uFmPKyJ2RYEsYs88fKHY2Gc+D7lGQZj3E/x8A1K6QemcMPRdyJk5jmMWH2c9rojYFQWyiL3z6wx3r8LRfv/vU9MDn/NYhYZAjk62qUtEbErvIYs4gvx9ocRkcE0V53vKT2Vys76u5BTI92ni1CciL02BLOIo/DpD7ZOQqaL14/iC+fHnM1W0vk4rYxG7ppa1iCPx8IVK6+HGSTg3wfoIxf/3IAqTddMPz5rW0SbdTS3iEBTIIo4ovT8UH2P9//dvW5/a9PCedW9qDz/twCXigBTIIo7O3QMyFDa6ChF5SXoPWURExA4okEVEROyAAllERMQOKJBFRETsgAJZRETEDiiQRURE7IACWURExA4okEVEROyAAllERMQOKJBFRETsgAJZRETEDiiQRURE7IACWURExA4okEVEROyAAllERMQOKJBFRETsgAJZRETEDiiQRURE7IACWURExA4okEVEROyAAllERMQOKJBFRETsgAJZRETEDiiQRURE7IBbQr4oJiYGgJs3byZqMSIiIs7mcXY+ztJnSVAg37p1CwBvb++XLEtERCR5unXrFunTp3/m500x8UU28OjRI6Kjo0mbNi0mk8mmBYqIiDizmJgYbt26haenJy4uz36nOEGBLCIiIolLN3WJiIjYAQWyiIiIHVAgi4iI2AEFsoiIiB1QIIuIiNgBBbKIiIgdUCCLiIjYgf8DyHYuEyRs2vMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (6,6))\n",
    "\n",
    "nx.draw_networkx(H, \n",
    "                 pos = nx.circular_layout(H),\n",
    "                 with_labels=True, \n",
    "                 node_color=\"orange\")\n",
    "plt.savefig('图H.svg')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "5baa4357-083d-489c-b366-3877f06cff64",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nx.is_isomorphic(G,H)\n",
    "# 判断是否同构"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "4b09c2df-d893-469c-a13a-7036f66741e2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{0: 'd', 1: 'f', 3: 'c', 4: 'a', 2: 'g', 7: 'e', 5: 'b', 6: 'h'}"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nx.vf2pp_isomorphism(G,H, node_label=\"label\")\n",
    "# 节点对应关系"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
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